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To calculate the lower bound of \( a \) given by the formula:

\[
a = \frac{v - u}{t}
\]

with values:
- \( v = 8.91 \) (3 significant figures)
- \( u = 5.82 \) (3 significant figures)
- \( t = 9 \) (1 significant figure)

we need to determine the lower bound of \( a \). Here's how we approach it:

1. **Identify Lower Bounds** for each variable:
   - Since \( v = 8.91 \), the lower bound of \( v \) is \( 8.905 \).
   - Since \( u = 5.82 \), the lower bound of \( u \) is \( 5.815 \).
   - Since \( t = 9 \) to 1 significant figure, the lower bound of \( t \) is \( 8.5 \) (since \( t = 9 \) could range from 8.5 to 9.5).

2. **Calculate the Lower Bound of \( a \):**
   Use the lower bounds of \( v \), \( u \), and \( t \):

   \[
   a_{\text{lower}} = \frac{(v_{\text{lower}} - u_{\text{upper}})}{t_{\text{upper}}}
   = \frac{8.

Calculate the lower bound of the acceleration (a) given by the formula a = (v - u) / t where v = 8.91 to 3 significant figures, u = 5.82 to 3 significant figures, and t = 9 to 1 significant figure. Show your working clearly.

This guide explains how to calculate the lower bound of acceleration (a) given the values of v, u, and t, including step-by-step working with significant figures and bounds. Suitable for high school physics and algebra students.

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